Analysis of the NMSSM Higgs boson masses at one-loop level

Abstract

For a reliable prediction of the NMSSM Higgs boson signatures at present and future high-energy colliders and a proper distinction of the NMSSM and MSSM Higgs sector the precise knowledge of the Higgs boson masses including higher-order corrections is indispensable. In this paper, the one-loop corrections to the neutral NMSSM Higgs boson masses and mixings are calculated in three different renormalisation schemes. In addition to the DR renormalisation scheme, existing in the literature, two other schemes are adopted. Furthermore, the dependence on the value of the top quark mass is investigated. The resulting Higgs mass corrections have been compared and the residual theory error due to missing higher-order corrections can be estimated to be of the order of 10%.

Two-loop contributions of the order O α t α s $$ \mathcal{O}\left({\alpha}_t{\alpha}_s\right) $$ to the masses of the Higgs bosons in the CP-violating NMSSM

“…Due to our convention to label by ascending indices the Higgs bosons with increasing mass, the one-loop corrected H2 mass is then assigned to H3 and vice versa. See also [46], where a similar behaviour has been discussed. …”

“…Recently, first corrections beyond order O(α t α s + α b α s ) have been given in [45]. We have furthermore calculated the full one-loop corrections in the Feynman diagrammatic approach in a mixed DR-on-shell and in a pure on-shell renormalization scheme [46]. In the mixed DR-on-shell renormalization scheme also the one-loop corrections to the Higgs self-couplings are available [47].…”

“…For the evaluation of the loop-corrected Higgs masses and Higgs mixing matrix, we follow the numerical procedure given in refs. [46,54]. The renormalized self-energies of the Higgs bosons,Σ ij , contain one-loop and two-loop contributions, which are labeled with the superscript (1) and (2), respectively,…”

Higgs-boson masses and mixing matrices in the NMSSM: analysis of on-shell calculations

“…The renormalized self-energy matrixˆ hh at one-loop order is evaluated in NMSSMCALC [29,30] and NMSSM-FeynHiggs [31] by taking into account the full contributions from the NMSSM without flavour mixing and including momentum dependence (differences in the renormalization schemes are discussed below …”

“…For the NMSSM Higgs masses the leading one-loop (s)top and (s)bottom contributions have been computed in [22][23][24][25][26]. The full one-loop corrections in the DR scheme including all contributions of the NMSSM without flavour mixing have been given in [27,28], in a mixed DR/OS scheme in [29][30][31]. Two-loop corrections in the DR scheme of O(α s (α t + α b )) for zero external momentum were given in [27].…”